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Finding the Fourth Proportional to 397,981.36, 549,224.11 and 216,703.20

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Solution

The fourth proportional to 397,981.36, 549,224.11 and 216,703.20 is: 299,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,981.36 : 549,224.11 = 216,703.20 : x
  2. Step 2: Convert to fraction form
    397,981.36/549,224.11 = 216,703.20/x
  3. Step 3: Cross multiply
    397,981.36x = 549,224.11 × 216,703.20
  4. Step 4: Simplify right side
    397,981.36x = 119,018,624,484.62
  5. Step 5: Solve for x
    x = 119,018,624,484.62/397,981.36
  6. Step 6: Final answer
    x = 299,055.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.